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Finding the Third Proportional to 233,127 and 348,247

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Solution

The third proportional to 233,127 and 348,247 is: 520,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,127 : 348,247 = 348,247 : x
  2. Step 2: Convert to fraction form
    233,127/348,247 = 348,247/x
  3. Step 3: Cross multiply
    233,127x = 348,247 × 348,247
  4. Step 4: Simplify right side
    233,127x = 121,275,973,009
  5. Step 5: Solve for x
    x = 121,275,973,009/233,127
  6. Step 6: Final answer
    x = 520,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.